Note About String Theory with Deformed Dispersion Relations

TL;DR

This paper derives a Lagrangian formulation for bosonic string theory incorporating deformed dispersion relations as proposed by Magueijo and Smolin, aiming to extend string theory frameworks to include quantum gravity effects.

Contribution

It provides the first explicit Lagrangian formulation of bosonic strings with deformed dispersion relations, bridging string theory and quantum gravity phenomenology.

Findings

Derived a Lagrangian for bosonic strings with deformed dispersion relations.

Established a theoretical framework connecting string theory to quantum gravity modifications.

Facilitated further exploration of phenomenological implications of deformed dispersion relations in string theory.

Abstract

The goal of this short paper is to find Lagrangian for bosonic string with deformed dispersion relation proposed by J.Magueijo and L. Smolin in 2004.